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Finding the Fourth Proportional to 15,883.68, 23,825.70 and 5,493

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Solution

The fourth proportional to 15,883.68, 23,825.70 and 5,493 is: 8,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.68 : 23,825.70 = 5,493 : x
  2. Step 2: Convert to fraction form
    15,883.68/23,825.70 = 5,493/x
  3. Step 3: Cross multiply
    15,883.68x = 23,825.70 × 5,493
  4. Step 4: Simplify right side
    15,883.68x = 130,874,570.10
  5. Step 5: Solve for x
    x = 130,874,570.10/15,883.68
  6. Step 6: Final answer
    x = 8,239.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.